LabworkMMA

Labwork Math Models with Applications __Day 5: Wednesday, March 31st or Thursday, April 1st, 2010__ 1. Go to @http://schools.mangahigh.com/lecj 2. The Login is a number I have assigned to you. Use the password I gave you as well. Enter both in and click submit. 3. Click on the Home (Purple) button to the left. 4. Do the three assignments which are lessons involving area. You complete a lesson only when you have successfully answerd the questions in each round in a small amount of time. 5. If you need a calculator, go to the Start menu on the computer, click on Programs, click on Accessories, and click on Calculator. 6. We are having a competition, you will have to sign in and play the game Pyramid Panic using your MangaHigh sign in ID and password.**
 * You will be playing math games on the computer and working independently.

Labwork day 4: Thursday, March 11, 2010 and Friday, March 12, 2010 You will be playing a math game on the computer. 1. Go to @http://schools.mangahigh.com/lecj 2. The Login is a number I have assigned to you. 3. Ask me for your password. Enter the password and click submit. 4. Click on the button for GAMES on the left hand side of the screen. 5. Click on the Home (Purple) button to the left. 6. Do the three assignments.

Thursday, February 24, 2010, Friday, February 25, 2010 You will answer the questions using the form Labwork Assignment 2. 1. Open the file 2. Select the airport point. Go to Display -> Animate Point. 3. Stop the animation. Theta is the angle between the airplane, the airport and the ground. ComplementOfTheta is also the angle between the airplane, the airport and the ground. **Q3: Why are Theta and ComplementOfTheta's angle measures different from each other? Q4: When will Theta and ComplementOfTheta ever be the same?** 4. **Q5: There is a right triangle visible. What are the points that make up the right triangle? Q6: Which point is the vertex of the right angle? Q7: Which point is the vertex of angle Theta?** 5. **Q8a: Using the computer's calculator, calculate sin(Theta). Q8b: Calculate sin(ComplementOfTheta). Q9: What value already listed has the same measurements of either sin(Theta) or sin(ComplementOfTheta).** 6. **Q10a: Using the computer's calculator, calculate cosine(Theta). Q10b: Calculate cosine(ComplementOfTheta). Q11: What value already listed has the same measurements of either cos(Theta) or cos(ComplementOfTheta).** 7. Select the airplane. Go to Measure -> Coordinates. **Q12: What are the measurements of the coordinates of the Airplane?** 8. Continue the animation and see if you notice a pattern between the coordinates of the airplane and any other values listed. 9. **Q14: If the airplane makes an angle of 72 degrees with the airport and the ground, how far above the ground is the airplane?** 10. **Q15: If the airplane makes an angle of 72 degrees with the airport and the ground, how far away from the airport will the airplane be if it crashes to the ground?**
 * Q1: As the airplane moves, what is happening to the distance between the airport and the airplane?** **Q2: As the airplane moves, what is happening to the distance between the airplane and the ground?**
 * Q13: Where have you seen those numbers (the coordinates of the Airplane) before?**

Labwork 2: Tuesday, February 16, 2010 and Wednesday, February 17, 2010 You will answer the questions using the form (Labwork Assignment 1).. 1. Open up Geometer's Sketchpad on the computer. 2. Go the GRAPH menu button, select Grid form, then select Square. 3. Select the Circle Tool on the left and click on a point in the grid, then click on a different place of the grid. You have now made a circle. 4. Click on the Arrow Tool. Click on a part of the outer edge of the circle you created to move it around. 5. Now click on the center of the circle and drag it around. Q1. What happens to the circle when you do that? 6. Now click on the point already placed on the circle. Drag that point around. Q2. What happens to the circle when you do that? 7. QH3: How does dragging around the center point affect the circle different from when you drag the point on the circle around? 8. Place a point on the circle by going to the POINT tool on the left, selecting that, then clicking on the line of the circle. 9. Click the ARROW tool. Construct a line segment by selecting the point you just created and the center of the circle, Go to the Construct Menu, and select line segment. 10. Repeat the same steps to construct a line segment between the center of the circle and the point that was already on the circle. 11. Repeat the same steps to construct a line segment between the point you created and the point that was already on the circle. 12. Select a side of the triangle, go to the MEASURE menu, and select calculate length. Do this for all three sides of the triangle. 13. Move the point that you created (it should be labeled A) so that it is directly above or below the center of the circle (should be labeled B). 14. Select the points A,B, and C, and go to MEASURE and click angle. 15. Move point A so that you get a 90 angle (or as close as possible). 16. Click the Arrow Tool, and click the point A. Go to the Display Menu and select Animate Point. 17. Stop the animation. Q4. What is the angle measurement of angle B? 18. Q5: What is the length of AB? Q6: What is the length of BC? Q7: What is the length of AC? 19: Q8: What is AB/AC? Q9: What is BC / AC? 20: Using the computer's calculator, Q9: Calculate sin<B. What do you notice?